Acta mathematica scientia, Series B >
GENERAL DECAY OF SOLUTIONS FOR A VISCOELASTIC EQUATION WITH NONLINEAR DAMPING AND SOURCE TERMS
Received date: 2009-07-15
Revised date: 2010-03-22
Online published: 2011-07-20
The initial boundary value problem for a viscoelastic equation
|ut|ρ utt -Δu-Δutt +∫t 0g(t-s)Δu(s)ds+|mut| ut = |u|p u
in a bounded domain is considered, where ρ,m,p > 0 and g is a nonnegative and decaying
function. The general uniform decay of solution energy is discussed under some conditions
on the relaxation function g and the initial data by adopting the method of [14, 15, 19].
This work generalizes and improves earlier results in the literature.
Key words： global existence; asymptotic behavior; general decay
WU Shun-Tang . GENERAL DECAY OF SOLUTIONS FOR A VISCOELASTIC EQUATION WITH NONLINEAR DAMPING AND SOURCE TERMS[J]. Acta mathematica scientia, Series B, 2011 , 31(4) : 1436 -1448 . DOI: 10.1016/S0252-9602(11)60329-9
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